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413334210412000 = 25533716971645727
BaseRepresentation
bin101110111111011001101111…
…0110010001111110111100000
32000012111100211210121122222201
41131332303132302033313200
5413134031430331141000
64023031040452342544
7153030261024223033
oct13576633662176740
92005440753548881
10413334210412000
1110a7790661a4559
123a436b32914a54
13149833307acab7
14740d6a80a301a
1532bbb8853796a
hex177ecdec8fde0

413334210412000 has 192 divisors, whose sum is σ = 1043625034722816. Its totient is φ = 160770314649600.

The previous prime is 413334210411989. The next prime is 413334210412021. The reversal of 413334210412000 is 214012433314.

It is a happy number.

It is a super-2 number, since 2×4133342104120002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413334210412000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250333137 + ... + 251978863.

It is an arithmetic number, because the mean of its divisors is an integer number (5435547055848).

Almost surely, 2413334210412000 is an apocalyptic number.

413334210412000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413334210412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521812517361408).

413334210412000 is an abundant number, since it is smaller than the sum of its proper divisors (630290824310816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413334210412000 is a wasteful number, since it uses less digits than its factorization.

413334210412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647486 (or 1647468 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413334210412000 its reverse (214012433314), we get a palindrome (413548222845314).

The spelling of 413334210412000 in words is "four hundred thirteen trillion, three hundred thirty-four billion, two hundred ten million, four hundred twelve thousand".